Find lim,00 sup(sn) and lim,→0 inf(sn) for the sequence: 82n = (-1)"(n); s2n-1= e7 = et

Q: Find the sum of the first 6 terms of the sequence defined by an = -4 (2)^-¹ for n ≥ 1. -

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Q: 1 4. (2n)" 5. 3"-1 n(n+1)(n+2) 6.

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Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 19th term of the geometric sequence -2, -6, -18, -54 .…

A: Here the given series is a geometric progression. So to find any term in the series we use formula…

Q: Determine the nth term of the sequence. Where applicable, use the '^' sign for exponents. For…

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Q: Determine the generating function for the following sequence: (),-), (2),,(-1)" (a),.. where a is a…

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Q: List the first five terms of the sequence. (-1)" - 1 an Te %3! 1. 2.

A: Since you have asked question with multiple sub-parts in a single request, we would be answering…

Q: Find the 6th term of the geometric sequence when a1=10,an=10(-2) ^n-1

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Q: Write the first 5 elements of the sequences: 1. a, = 3k +4

A: Given that, ak  = 3 k+ 4. To find elements in the sequence, we need to plug different values of k in…

Q: Write out the first 5 terms for an algebraic sequence starting with 8 with a rate of change of 4.…

A: The first term  of the sequence is 8 i.e a=8 ,and the rate of change is 4. So, let ratio between the…

Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: Write an expression for the nth term of the sequence 1. 1, (1/4), (1/9), (1/16) 2. 2, -1, (1/2),…

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Q: 4 Chose the formula for the nth term of the Geometric Sequence: 6, 4, 4, 10

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Q: Consider the sequence S(-1)"-2n² 4+n³ n=1 (a) Write the 129th term in this sequence. You do not have…

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Q: 5. Calculate the formula for the geometric sequence 4000, 1000, 250, 62.5,

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.